Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.0010419173824142214	0.39014293364681746	0.22161484622320993	0.4074774248933806	0.526353557609152	0.03814065059347773	0.07312140408143371	0.3351975265330307	0.014297981212139585

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 122
\chi_{0}^2 = 1.1465
\chi_{mean}^2 = 1.0724
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.1698 \pm 0.0124
\langle E \rangle \pm \sigma_{E} = 2.1819 \pm 0.1528

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.00011560729	-0.00104242 \pm 0.00810468	False
N_1	0.42030542	0.44676858 \pm 0.14107231	False
\alpha	0.21950611	0.22573654 \pm 0.01364442	False
\sigma	0.39278937	0.39114982 \pm 0.08850198	False
\lambda	0.55456343	0.54421056 \pm 0.0871428	False
N_{1B}	0.037791147	0.04211653 \pm 0.01288901	False
\alpha_B	0.073482989	0.07526806 \pm 0.01089862	False
\sigma_B	0.33712526	0.30370251 \pm 0.11145638	False
g_{2B}	0.015197922	0.01507184 \pm 0.00297575	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.611	0.0008	0.6118
E605_Q_8_9	8	1.4186	0.0008	1.4194
E605_Q_10.5_11.5	10	0.3598	0.1877	0.5475
E605_Q_11.5_13.5	12	0.8337	0.56	1.3936
E605_Q_13.5_18	13	1.4045	0.7053	2.1098
E288_200_Q_4_5	4	0.6485	0.9003	1.5487
E288_200_Q_5_6	5	1.5776	0.2985	1.8761
E288_200_Q_6_7	6	0.3345	0.1478	0.4823
E288_200_Q_7_8	7	0.449	0.0056	0.4546
E288_200_Q_8_9	8	0.5521	0.0411	0.5932
E288_300_Q_4_5	4	0.5451	0.529	1.0741
E288_300_Q_5_6	5	0.8772	0.1515	1.0287
E288_300_Q_6_7	6	0.5087	0.0383	0.547
E288_300_Q_7_8	7	0.1146	0.0212	0.1358
E288_300_Q_8_9	8	0.5207	0.0083	0.529
E288_300_Q_11_12	9	0.3562	0.2325	0.5887
E288_400_Q_5_6	5	0.3468	0.0044	0.3512
E288_400_Q_6_7	6	0.0961	0.001	0.0971
E288_400_Q_7_8	7	0.0192	0.0196	0.0388
E288_400_Q_8_9	8	0.4268	0.0395	0.4663
E288_400_Q_11_12	11	0.495	0.0408	0.5357
E288_400_Q_12_13	12	0.4871	0.0389	0.526
E288_400_Q_13_14	12	0.5956	0.0845	0.6801
STAR_510	7	0.9519	0.0396	0.9916
CDF_RunI	25	0.5551	0.0719	0.627
CDF_RunII	26	0.9481	0.0024	0.9505
D0_RunI	12	0.6445	0.0324	0.677
D0_RunII	5	1.0501	0.0457	1.0958
D0_RunIImu	3	0.2946	0.0502	0.3448
LHCb_7TeV	7	1.191	0.2049	1.3958
LHCb_8TeV	7	0.5465	0.1547	0.7012
LHCb_13TeV	7	0.8172	0.0395	0.8568
CMS_7TeV	4	2.5325	0	2.5325
CMS_8TeV	4	1.3185	0.1564	1.4749
ATLAS_7TeV_y_0_1	6	3.5186	0.0171	3.5357
ATLAS_7TeV_y_1_2	6	3.6908	0.597	4.2879
ATLAS_7TeV_y_2_2.4	6	2.9067	0.2864	3.1931
ATLAS_8TeV_y_0_0.4	6	3.0946	0.7176	3.8123
ATLAS_8TeV_y_0.4_0.8	6	3.4236	0.702	4.1257
ATLAS_8TeV_y_0.8_1.2	6	1.6008	0.1807	1.7815
ATLAS_8TeV_y_1.2_1.6	6	1.3811	0.2279	1.609
ATLAS_8TeV_y_1.6_2	6	0.9259	0.2886	1.2145
ATLAS_8TeV_y_2_2.4	6	0.9497	0.432	1.3817
ATLAS_8TeV_Q_46_66	4	1.8525	0.5315	2.384
ATLAS_8TeV_Q_116_150	8	0.6575	0.0024	0.6599
Total	353	-	-	1.1465

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4245	0.0475	0.472
E605_Q_8_9	8	0.9913	0.0269	1.0182
E605_Q_10.5_11.5	10	0.1832	0.1561	0.3394
E605_Q_11.5_13.5	12	0.4416	0.3177	0.7593
E605_Q_13.5_18	13	0.4626	0.423	0.8856
E288_200_Q_4_5	4	0.252	0.6587	0.9107
E288_200_Q_5_6	5	0.762	0.3082	1.0702
E288_200_Q_6_7	6	0.174	0.1555	0.3295
E288_200_Q_7_8	7	0.3033	0.0191	0.3224
E288_200_Q_8_9	8	0.6516	0.0176	0.6691
E288_300_Q_4_5	4	0.2681	0.5278	0.7959
E288_300_Q_5_6	5	0.5705	0.2029	0.7734
E288_300_Q_6_7	6	0.3841	0.0704	0.4545
E288_300_Q_7_8	7	0.0761	0.0396	0.1156
E288_300_Q_8_9	8	0.4584	0.0257	0.4841
E288_300_Q_11_12	9	0.9769	0.1465	1.1234
E288_400_Q_5_6	5	0.3902	0.0531	0.4433
E288_400_Q_6_7	6	0.1364	0.0044	0.1408
E288_400_Q_7_8	7	0.023	0.0075	0.0306
E288_400_Q_8_9	8	0.4383	0.0269	0.4652
E288_400_Q_11_12	11	0.5847	0.0232	0.6079
E288_400_Q_12_13	12	0.73	0.0182	0.7482
E288_400_Q_13_14	12	1.0392	0.0337	1.0729
STAR_510	7	0.7982	0.065	0.8632
CDF_RunI	25	0.489	0.073	0.562
CDF_RunII	26	1.0337	0.0	1.0338
D0_RunI	12	0.7215	0.0284	0.75
D0_RunII	5	1.0515	0.0456	1.0971
D0_RunIImu	3	0.3794	0.08	0.4594
LHCb_7TeV	7	1.0958	0.2347	1.3306
LHCb_8TeV	7	0.4925	0.1476	0.6401
LHCb_13TeV	7	0.7587	0.0382	0.7969
CMS_7TeV	4	2.5285	0	2.5285
CMS_8TeV	4	1.3011	0.1527	1.4538
ATLAS_7TeV_y_0_1	6	3.4031	0.0188	3.4219
ATLAS_7TeV_y_1_2	6	3.7975	0.596	4.3935
ATLAS_7TeV_y_2_2.4	6	2.9841	0.2817	3.2658
ATLAS_8TeV_y_0_0.4	6	2.9987	0.6995	3.6982
ATLAS_8TeV_y_0.4_0.8	6	3.5438	0.6654	4.2091
ATLAS_8TeV_y_0.8_1.2	6	1.6201	0.1737	1.7938
ATLAS_8TeV_y_1.2_1.6	6	1.3955	0.2215	1.617
ATLAS_8TeV_y_1.6_2	6	0.9903	0.2964	1.2868
ATLAS_8TeV_y_2_2.4	6	1.1261	0.4853	1.6114
ATLAS_8TeV_Q_46_66	4	1.7102	0.5673	2.2775
ATLAS_8TeV_Q_116_150	8	0.6701	0.002	0.6721
Total	353	-	-	1.0724

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.6832 \pm 0.1547
E605_Q_8_9	8	1.4819 \pm 0.2262
E605_Q_10.5_11.5	10	0.5844 \pm 0.0722
E605_Q_11.5_13.5	12	1.4771 \pm 0.0962
E605_Q_13.5_18	13	2.1179 \pm 0.0971
E288_200_Q_4_5	4	1.516 \pm 0.3393
E288_200_Q_5_6	5	1.8582 \pm 0.2013
E288_200_Q_6_7	6	0.4792 \pm 0.0912
E288_200_Q_7_8	7	0.4474 \pm 0.1311
E288_200_Q_8_9	8	0.593 \pm 0.0576
E288_300_Q_4_5	4	1.062 \pm 0.2886
E288_300_Q_5_6	5	1.0341 \pm 0.142
E288_300_Q_6_7	6	0.5416 \pm 0.1266
E288_300_Q_7_8	7	0.1384 \pm 0.0471
E288_300_Q_8_9	8	0.5612 \pm 0.0854
E288_300_Q_11_12	9	0.5938 \pm 0.0304
E288_400_Q_5_6	5	0.38 \pm 0.102
E288_400_Q_6_7	6	0.1208 \pm 0.0456
E288_400_Q_7_8	7	0.0699 \pm 0.044
E288_400_Q_8_9	8	0.5005 \pm 0.0736
E288_400_Q_11_12	11	0.5927 \pm 0.1366
E288_400_Q_12_13	12	0.5505 \pm 0.0354
E288_400_Q_13_14	12	0.6797 \pm 0.0554
STAR_510	7	1.0092 \pm 0.0712
CDF_RunI	25	0.6289 \pm 0.0186
CDF_RunII	26	0.9766 \pm 0.0842
D0_RunI	12	0.6883 \pm 0.0261
D0_RunII	5	1.0415 \pm 0.2184
D0_RunIImu	3	0.3937 \pm 0.1742
LHCb_7TeV	7	1.3997 \pm 0.0272
LHCb_8TeV	7	0.7133 \pm 0.0908
LHCb_13TeV	7	0.8798 \pm 0.0449
CMS_7TeV	4	2.5349 \pm 0.0143
CMS_8TeV	4	1.472 \pm 0.0597
ATLAS_7TeV_y_0_1	6	3.57 \pm 0.2821
ATLAS_7TeV_y_1_2	6	4.3661 \pm 0.1167
ATLAS_7TeV_y_2_2.4	6	3.2322 \pm 0.092
ATLAS_8TeV_y_0_0.4	6	3.8136 \pm 0.1782
ATLAS_8TeV_y_0.4_0.8	6	4.1621 \pm 0.0768
ATLAS_8TeV_y_0.8_1.2	6	1.8149 \pm 0.0787
ATLAS_8TeV_y_1.2_1.6	6	1.647 \pm 0.1171
ATLAS_8TeV_y_1.6_2	6	1.2879 \pm 0.2082
ATLAS_8TeV_y_2_2.4	6	1.5374 \pm 0.3817
ATLAS_8TeV_Q_46_66	4	2.3762 \pm 0.1081
ATLAS_8TeV_Q_116_150	8	0.666 \pm 0.0135
Total	353	1.1698 \pm 0.0124